One theorem of Cohn

A. A. Suslin

doi:10.1007/BF01091767

One theorem of Cohn

A. A. Suslin

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Let F be the field of algebraic functions of one variable over the field of constants k, v be a point of field F/k, and A_v be the ring of functions not having poles outside point v. It is proved that A_v is a GE₂-ring if and only if it coincides with the ring k[X] of polynomials of one variable over field k.

Original language	English (US)
Pages (from-to)	1801-1803
Number of pages	3
Journal	Journal of Soviet Mathematics
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/BF01091767
State	Published - Sep 1981

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Applied Mathematics

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10.1007/BF01091767

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abstract = "Let F be the field of algebraic functions of one variable over the field of constants k, v be a point of field F/k, and Av be the ring of functions not having poles outside point v. It is proved that Av is a GE2-ring if and only if it coincides with the ring k[X] of polynomials of one variable over field k.",

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AB - Let F be the field of algebraic functions of one variable over the field of constants k, v be a point of field F/k, and Av be the ring of functions not having poles outside point v. It is proved that Av is a GE2-ring if and only if it coincides with the ring k[X] of polynomials of one variable over field k.

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One theorem of Cohn

Abstract

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